Which version? The Pro or the Ultimate Weapon Pro? I've seen UW listed at 3.75oz. Regular Pro would be tad heavier i would think. I'd call Budget Billiards and ask them.
Was curious and contacted them(Budget). They said 29" versions run between 3.2 and 3.6oz. I think the weights may vary a tad based on what joint type is used.
I have 2, one with the diamond cue ringwork and it's 3.8oz and the other with the mini diamond ringwork and it's 3.6oz. both 29 1/4" long and both 12.5mm.
Just an FYI, have an UW Pro for the diamond as well and it's 3.4oz, 29 1/4" & 11.55mm.